5635

5635 is a natural number that sits between 5634 and 5636. In decimal notation it ends in 5, making it divisible by 5. The prime factorization is 5635 = 5 × 7² × 23, so the number is composite and not a prime or a power of a single prime. Its positive divisors are 1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, and 5635, total twelve divisors.

As a property of digits, the sum of its digits is 19, so it is not divisible by 3 or 9. It is odd and not a multiple of 2 or 4. The number is expressed in words as "five thousand six hundred thirty-five."

In mathematics, 5635 is commonly used as an example when illustrating prime factorization, divisor counts, and factorization-based algorithms due to its mixed prime factors. Beyond arithmetic, the number does not have widely recognized special significance in standard encyclopedic topics.